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Finding the Fourth Proportional to 21,868.24, 32,807.16 and 7,078.64

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Solution

The fourth proportional to 21,868.24, 32,807.16 and 7,078.64 is: 10,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,868.24 : 32,807.16 = 7,078.64 : x
  2. Step 2: Convert to fraction form
    21,868.24/32,807.16 = 7,078.64/x
  3. Step 3: Cross multiply
    21,868.24x = 32,807.16 × 7,078.64
  4. Step 4: Simplify right side
    21,868.24x = 232,230,075.06
  5. Step 5: Solve for x
    x = 232,230,075.06/21,868.24
  6. Step 6: Final answer
    x = 10,619.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.